It sounds very similar to what happened to me. I had two new front drums and brake shoes put on my car ('67 Barracuda) back in December. The brakes would haul the car down from speed, but it just did not want to stop at all. I had to use two feet and it still would just barely stop. My front-end guy had put Raybestos bonded shoes on it. He didn't do anything other than change over to Bendix riveted shoes and everything works fine now. For some reason, the Raybestos shoes just didn't react well with the drums (btw, I got the drums from the Paddock, and I think they also were Raybestos).